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Simplifying 49u2 + -42uv + 9v2 = 0 Reorder the terms: -42uv + 49u2 + 9v2 = 0 Solving -42uv + 49u2 + 9v2 = 0 Solving for variable 'u'. Factor a trinomial. (7u + -3v)(7u + -3v) = 0Subproblem 1
Set the factor '(7u + -3v)' equal to zero and attempt to solve: Simplifying 7u + -3v = 0 Solving 7u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. 7u + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 7u + 0 = 0 + 3v 7u = 0 + 3v Remove the zero: 7u = 3v Divide each side by '7'. u = 0.4285714286v Simplifying u = 0.4285714286vSubproblem 2
Set the factor '(7u + -3v)' equal to zero and attempt to solve: Simplifying 7u + -3v = 0 Solving 7u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. 7u + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 7u + 0 = 0 + 3v 7u = 0 + 3v Remove the zero: 7u = 3v Divide each side by '7'. u = 0.4285714286v Simplifying u = 0.4285714286vSolution
u = {0.4285714286v, 0.4285714286v}
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